1. Dirac neutrino dark matter G. Bélanger LAPTH- Annecy based on G. B, A.Pukhov, G. Servant CERN-PH-TH/2007-083

2. Outline Motivation Direct detection Relic density An explicit example : the LZP model Signals and conclusion

3. Motivation Although evidence for Dark Matter has been accumulating over the years, still do not have evidence what this dark matter could be Natural link DM ~100GeV range and EWSB: new physics at weak scale can also solve both EWSB and DM Weakly interacting particles gives roughly the right amount of DM, Ωh 2 ~0.1 Supersymmetric models with R-parity have good candidate (neutralino LSP) but many other possibilities exist only need some symmetry to ensure that lightest particle is stable UED, Little Higgs, Warped Xtra-Dim … Superweakly interacting particles might also work (gravitino) Examine different candidates and study prospects for direct/indirect detection, collider searches

4. Dirac right-handed neutrino Typical framework: sterile Dirac neutrino under SM but charged under SU(2) R Phenomenologically viable model with warped extra-dimensions and right- handed neutrino (GeV-TeV) as Dark Matter was proposed (LZP) Agashe, Servant, PRL93, 231805 (2004) – see explicit example later Models with LR symmetry and UED also can have RH neutrino dark matter Hsieh, Mohapatra, Nasri, PRD74,066004 (2006). Stability requires additional symmetry, but symmetry might be necessary for EW precision or for stability of proton Explore more generic model with stable ν R 1GeV– few TeV and examine properties of this neutrino ---- reexamine LZP model

5. Annihilation First assume only SM+ ν R ν R can couple to Z through ν’ L - ν R mixing Main annihilation channel – Z exchange Ff, WW, Zh Also Higgs exchange

6. Direct detection - limits Detect dark matter through interaction with nuclei in large detector Many experiments underway and planned In 2007 – new results announced from Xenon (Gran-Sasso) best limit ~factor 6 better than CDMS (Ge,Si) E. Aprile, Talk @ APS 2007

7. Direct detection : Dirac neutrino Dirac neutrino: spin independent interaction dominated by Z exchange (vector-like coupling)  very large cross- section for direct detection coupling Zν R ν R cannot be too large also constraint from LEP : invisible decay of Z Z exchange: also main mechanism for annihilation of ν R Zν R ν R coupling cannot be too small Vectorial coupling : elastic scattering on proton << neutron σ νp = (1- 4 sin 2 θ W ) σ νn For Majorana (neutralino) σ νp ~ σ νn Z,h νν

8. Relic density vs elastic scattering g z =g/x Higgs exchange contribute for annihilation (near resonance) and for direct detection, << Z exchange, only relevant for weak coupling to the Z Uncertainties in DD limit – e.g velocity distribution of DM (up to factor 3) WMAP

9. Direct detection limits -WMAP Current DM experiments already restricts ν R to be ~M Z /2, ~M H /2 M( ν R ) > 700GeV Other mechanism for not so heavy neutrino DM? Relic density computed with micrOMEGAs_2.0, WMAP

10. Extending the gauge group (LR) New Z’ (… and W’)- SU 2L XSU 2R XU 1 Could introduce τ’ partner ν’ +new quarks Constraints on Z’ from EW precision: mixing small ~10 -3 (T parameter) Assume Z’ couples only to third generation fermions : weakens EW constraints but induces FCNC – constraints also depend on quark mixing matrices Mz’~ 500GeV Coupling of ν R to Z can also be induced by Z- Z’ mixing Heavy Z’ that couples to 3 rd gen.: no effect on DD Effect of W’ in annihilation not so important

11. Relic density vs elastic scattering’ As before viable neutrino DM around M Z /2, M H /2 Depending on M Z’ can have neutrino ~ 200GeV Not considered coannihilation Need to specify properties of extra fermions excluded

12. The LZP model Warped Xtra-Dim (Randall-Sundrum) GUT model with matter in the bulk Solving B violation in GUT models  stable KK particle Example based on SO(10) with Z 3 symmetry: LZP is KK RH-neutrino Agashe, Servant, hep-ph/0403143 Many features of our generic model: LR symmetry with KK W’,Z’ gauge bosons Many new generations of KK fermions, most are multi-TeV, lighter ones are those of third generation (choice of BC for heavy top quark) Zν R ν R coupling induced via Z-Z’ mixing or ν R- ν’ L mixing Z’ ν R ν R coupling ~1, Z’ couples to 3 rd generation fermions H ν R ν R coupling small

13. … LZP model Free parameters : masses of KK fermions, mass of KK gauge boson, M H, coupling of Z’(g) Couplings to KK particles from wave functions overlap LZP is Dirac particle, coupling to Z through Z-Z’ mixing and mixing with new LH neutrino Zν R ν R cannot be too large otherwise elastic scattering on nucleon too large Z-Z’ mixing ~1/M 2 Z’ - gZ too large if Mz’<3-4TeV

14. Relic density of LZP Qualitatively recover results of first study (Agashe, Servant), new features Precise evaluation of relic density in micromegas_2.0 Include Higgs exchange Include all coannihilations Compatibility with WMAP for LZP ~ 50GeV and 0.5- 2TeV depending on M KK Large cross-sections for direct detection Signal for next generation of detectors in large area of parameter space (10 -9 pb)

15. Coannihilation Possibility to have LZP in range 100-500GeV with coannihilation Coannihilation decreases Ωh 2 but no effect on direct detection rate Need small mass differences (NLZP-LZP) ~few %

16. Signals - Colliders Higgs decay into invisible -- LHC: weak boson fusion+ZH ILC Z invisible : LEP constraint OK As in MSSM : search for new particles Long-lived τ’ : if τ’ nearly degenerate with ν’: can decay outside detector signal : charged massive particle (only for small region of parameter space) – searches at Tevatron, LHC + ILC More likely τ pair production and signal 2l+missing energy LHC@100fb -1

17. Signals - Colliders Only one study of LHC potential: signal for KK quarks in LZP model – b R has no Z 3 charge Pair produced via gg Decay into tW 4W+bb final state Z’ search but only couples to W bosons and 3 rd generation -- difficult Identify model, determination of parameters … still need to be studied, will involve DM detection Dennis et al. hep-ph/0701158 Signal 3W in jets 1W leptonic Dijet mass distribution

18. Signals – indirect detection In LZP model Hooper, Servant, hep-ph/0502247 Good prospects for detecting HE neutrinos from the sun – M ν’ <100GeV, ν’ pairs annihilate directly into ν pairs : accessible to AMANDA (max 5-10 events/yr) and Antares Also good signal in positron –Pamela LZP annihilation near galactic center might give gamma rays signal

19. Comparisons of DM scenarios

20. Summary Dirac RH neutrino is viable DM candidate Mass range 40GeV-few TeV Need resonance annihilation and/or coannihilation for M<700GeV Distinctive feature: expect large signal in direct detection Need to further study collider potential for detecting new particles